论文标题
在预算限制下，在SIR模型中最大程度地减少了SIR模型中流行高峰的最佳反馈控制
An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint
论文作者
论文摘要
我们给出了最佳控制问题的明确解决方案，该解决方案包括在控制率是传染病率的衰减因子时最小化SIR模型中的流行峰，但要受L 1预算约束。最佳策略作为反馈控制，由奇异的弧线组成，该弧将感染人群保持恒定水平，直到达到免疫力阈值，并且在奇异弧之外没有干预。
We give the explicit solution of the optimal control problem which consists in minimizing the epidemic peak in the SIR model when the control is an attenuation factor of the infectious rate, subject to a L 1 budget constraint. The optimal strategy is given as a feedback control which consists in an singular arc maintaining the infected population at a constant level until the immunity threshold is reached, and no intervention outside the singular arc.
